263887994880 has 300 divisors, whose sum is σ = 946082246340. Its totient is φ = 70368362496.

The previous prime is 263887994869. The next prime is 263887994917. The reversal of 263887994880 is 88499788362.

263887994880 is a `hidden beast` number, since 2 + 63 + 8 + 87 + 9 + 9 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63069290496 + 200818704384 = 251136^2 + 448128^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 263887994799 and 263887994808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6615636 + ... + 6655404.

Almost surely, 2^263887994880 is an apocalyptic number.

263887994880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263887994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473041123170).

263887994880 is an abundant number, since it is smaller than the sum of its proper divisors (682194251460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

263887994880 is an frugal number, since it uses more digits than its factorization.

263887994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39814 (or 39779 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 263887994880 in words is "two hundred sixty-three billion, eight hundred eighty-seven million, nine hundred ninety-four thousand, eight hundred eighty".